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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /273/CH15
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Diffstat (limited to '273/CH15')
-rwxr-xr-x273/CH15/EX15.1/ex15_1.sce15
-rwxr-xr-x273/CH15/EX15.10/ex15_10.sce16
-rwxr-xr-x273/CH15/EX15.11/ex15_11.sce16
-rwxr-xr-x273/CH15/EX15.12/ex15_12.sce17
-rwxr-xr-x273/CH15/EX15.13/ex15_13.sce18
-rwxr-xr-x273/CH15/EX15.14/ex15_14.sce16
-rwxr-xr-x273/CH15/EX15.15/ex15_15.sce21
-rwxr-xr-x273/CH15/EX15.2/ex15_2.sce17
-rwxr-xr-x273/CH15/EX15.3/ex15_3.sce15
-rwxr-xr-x273/CH15/EX15.4/ex15_4.sce15
-rwxr-xr-x273/CH15/EX15.5/ex15_5.sce15
-rwxr-xr-x273/CH15/EX15.6/ex15_6.sce16
-rwxr-xr-x273/CH15/EX15.7/ex15_7.sce18
-rwxr-xr-x273/CH15/EX15.8/ex15_8.sce16
-rwxr-xr-x273/CH15/EX15.9/ex15_9.sce14
15 files changed, 245 insertions, 0 deletions
diff --git a/273/CH15/EX15.1/ex15_1.sce b/273/CH15/EX15.1/ex15_1.sce
new file mode 100755
index 000000000..0f77cb712
--- /dev/null
+++ b/273/CH15/EX15.1/ex15_1.sce
@@ -0,0 +1,15 @@
+clc;clear;
+//Example 15.1
+//calculation of binding energy per nucleon
+
+//given values
+Mp=1.00814;//mass of proton in amu
+Mn=1.008665;//mass of nucleon in amu
+M=7.01822;//mass of Lithium nucleus in amu
+amu=931;//amu in MeV
+n=7-3;//no of neutrons in lithium nucleus
+
+//calculation
+ET=(3*Mp+4*Mn-M)*amu;//total binding energy in MeV
+E=ET/7;//7 1s the mass number
+disp(E,'Binding energy per nucleon in MeV is');
diff --git a/273/CH15/EX15.10/ex15_10.sce b/273/CH15/EX15.10/ex15_10.sce
new file mode 100755
index 000000000..598f808e7
--- /dev/null
+++ b/273/CH15/EX15.10/ex15_10.sce
@@ -0,0 +1,16 @@
+clc;clear;
+//Example 15.10
+//calculation of crosssection
+
+//given values
+t=.01*10^-3;//thickness in m
+n=10^13;//no of protons bombarding target per s
+NA=6.02*10^26;//avogadro's number
+M=7;//atomic mass of lithium in kg
+d=500;//density of lithium in kg/m^3
+n0=10^8;//no of neutrons produced per s
+//calculation
+n1=d*NA/M;//no of target nuclei per unit volume
+n2=n1*t;//no of target nuclei per area
+A=n0/(n*n2);
+disp(A,'crosssection(in m^2) for this reaction is'); \ No newline at end of file
diff --git a/273/CH15/EX15.11/ex15_11.sce b/273/CH15/EX15.11/ex15_11.sce
new file mode 100755
index 000000000..ae4f9d461
--- /dev/null
+++ b/273/CH15/EX15.11/ex15_11.sce
@@ -0,0 +1,16 @@
+clc;clear;
+//Example 15.11
+//calculation of final energy
+
+//given values
+B=.4;//max magnetic field in Wb/m^2
+c=3*10^8;
+e=1.6*10^-19;
+d=1.52;//diametre in m
+r=d/2;
+
+//calculation
+E=B*e*r*c;//E=pc,p=mv=Ber
+disp(E,'final energy of e(in J) is');
+E1=(E/e)/10^6;
+disp(E1,'final energy of e (in MeV) is'); \ No newline at end of file
diff --git a/273/CH15/EX15.12/ex15_12.sce b/273/CH15/EX15.12/ex15_12.sce
new file mode 100755
index 000000000..e037f0b5e
--- /dev/null
+++ b/273/CH15/EX15.12/ex15_12.sce
@@ -0,0 +1,17 @@
+clc;clear;
+//Example 15.12
+//calculation of amount of fuel
+
+//given values
+P=100*10^6;//power required by city
+M=235;//atomic mass of Uranium in g
+e=20/100;//conversion efficiency
+NA=6.02*10^26;//avogadros number
+E=200*10^6*1.6*10^-19;//energy released per fission
+t=8.64*10^4;//day in seconds
+
+
+//calculation
+E1=P*t;//energy requirement
+m=E1*M/(NA*e*E);//no of nuclei N=NA*m/M,energy released by m kg is N*E,energy requirement=e*N*E
+disp(m,'amount of fuel(in kg) required is'); \ No newline at end of file
diff --git a/273/CH15/EX15.13/ex15_13.sce b/273/CH15/EX15.13/ex15_13.sce
new file mode 100755
index 000000000..7deb80020
--- /dev/null
+++ b/273/CH15/EX15.13/ex15_13.sce
@@ -0,0 +1,18 @@
+clc;clear;
+//Example 15.13
+//calculation of power output
+
+//given values
+M=235;//atomic mass of Uranium in kg
+e=5/100;//reactor efficiency
+m=25/1000;//amount of uranium consumed per day in kg
+E=200*10^6*1.6*10^-19;//energy released per fission
+t=8.64*10^4;//day in seconds
+NA=6.02*10^26;//avogadros number
+
+//calculation
+n=NA*m/M;//no of nuclei in 25g
+E1=n*E;//energy produced by n nuclei
+E2=E1*e;//energy converted to power
+P=E2/t;//power output in Watt
+disp(P/10^6,'power output in MW is'); \ No newline at end of file
diff --git a/273/CH15/EX15.14/ex15_14.sce b/273/CH15/EX15.14/ex15_14.sce
new file mode 100755
index 000000000..9a9364cd4
--- /dev/null
+++ b/273/CH15/EX15.14/ex15_14.sce
@@ -0,0 +1,16 @@
+clc;clear;
+//Example 15.14
+//calculation of power developed
+
+//given values
+M=235;//atomic mass of Uranium in kg
+m=20.4;//amount of uranium consumed per day in kg
+E=200*10^6*1.6*10^-19;//energy released per fission
+t=3600*1000;//time of operation
+NA=6.02*10^26;//avogadros number
+
+//calculation
+n=NA*m/M;//no of nuclei in 20.4kg
+E1=n*E;//energy produced by n nuclei
+P=E1/t;//in Watt
+disp(P/10^6,'power developed in MW is'); \ No newline at end of file
diff --git a/273/CH15/EX15.15/ex15_15.sce b/273/CH15/EX15.15/ex15_15.sce
new file mode 100755
index 000000000..39bfc181a
--- /dev/null
+++ b/273/CH15/EX15.15/ex15_15.sce
@@ -0,0 +1,21 @@
+clc;clear;
+//Example 15.15
+//calculation of amount of dueterium consumed
+
+//given values
+M1=2.01478;//atomic mass of Hydrogen in amu
+M2=4.00388;//atomic mass of Helium in amu
+amu=931;//amu in MeV
+e=30/100;//efficiency
+P=50*10^6;//output power
+NA=6.026*10^26;//avogadro number
+t=8.64*10^4;//seconds in a day
+
+//calculation
+Q=(2*M1-M2)*amu;//energy released in a D-D reaction in MeV
+O=Q*e*10^6/2;//actual output per dueterium atom in eV
+n=P/(O*1.6*10^-19);//no of D atoms required
+m=n*M1/NA;//equivalent mass of D required per s
+X=m*t;
+
+disp(X,'Deuterium requirement per day in kg is');
diff --git a/273/CH15/EX15.2/ex15_2.sce b/273/CH15/EX15.2/ex15_2.sce
new file mode 100755
index 000000000..25e14a0dc
--- /dev/null
+++ b/273/CH15/EX15.2/ex15_2.sce
@@ -0,0 +1,17 @@
+clc;clear;
+//Example 15.2
+//calculation of energy
+
+//given values
+M1=15.00001;//atomic mass of N15 in amu
+M2=15.0030;//atomic mass of O15 in amu
+M3=15.9949;//atomic mass of O16 in amu
+amu=931.4;//amu in MeV
+mp=1.0072766;//restmass of proton
+mn=1.0086654;//restmass of neutron
+
+//calculation
+Q1=(M3-mp-M1)*amu;
+disp(Q1,'energy required to remove one proton from O16 is');
+Q2=(M3-mn-M2)*amu;
+disp(Q2,'energy required to remove one neutron from O16 is');
diff --git a/273/CH15/EX15.3/ex15_3.sce b/273/CH15/EX15.3/ex15_3.sce
new file mode 100755
index 000000000..8398696a6
--- /dev/null
+++ b/273/CH15/EX15.3/ex15_3.sce
@@ -0,0 +1,15 @@
+clc;clear;
+//Example 15.3
+//calculation of binding energy
+
+//given values
+Mp=1.00758;//mass of proton in amu
+Mn=1.00897;//mass of nucleon in amu
+M=4.0028;//mass of Helium nucleus in amu
+amu=931.4;//amu in MeV
+
+//calculation
+E1=(2*Mp+2*Mn-M)*amu;//total binding energy
+disp(E1,'Binding energy in MeV is');
+E2=E1*10^6*1.6*10^-19;
+disp(E2,'binding energy in Joule is');
diff --git a/273/CH15/EX15.4/ex15_4.sce b/273/CH15/EX15.4/ex15_4.sce
new file mode 100755
index 000000000..59a8ebbba
--- /dev/null
+++ b/273/CH15/EX15.4/ex15_4.sce
@@ -0,0 +1,15 @@
+clc;clear;
+//Example 15.4
+//calculation of amount of unchanged material
+
+//given values
+T=2;//half life in years
+k=.6931/T;//decay constant
+M=4.0028;//mass of Helium nucleus in amu
+amu=931.4;//amu in MeV
+No=1;//initial amount in g
+
+//calculation
+N=No*(%e^(-k*2*T));
+disp(N,'amount of material remaining unchanged after four years(in gram) is');
+
diff --git a/273/CH15/EX15.5/ex15_5.sce b/273/CH15/EX15.5/ex15_5.sce
new file mode 100755
index 000000000..a45cc8c5c
--- /dev/null
+++ b/273/CH15/EX15.5/ex15_5.sce
@@ -0,0 +1,15 @@
+clc;clear;
+//Example 15.5
+//calculation of amount of halflife
+
+//given values
+t=5;//time period in years
+amu=931.4;//amu in MeV
+No=5;//initial amount in g
+N=5-(10.5*10^-3);//amount present after 5 years
+
+
+//calculation
+k=log(N/No)/t;//decay constant
+T=-.693/k;
+disp(T,'halflife in years is'); \ No newline at end of file
diff --git a/273/CH15/EX15.6/ex15_6.sce b/273/CH15/EX15.6/ex15_6.sce
new file mode 100755
index 000000000..904dca25e
--- /dev/null
+++ b/273/CH15/EX15.6/ex15_6.sce
@@ -0,0 +1,16 @@
+clc;clear;
+//Example 15.6
+//calculation of activity
+
+//given values
+t=28;//half life in years
+m=10^-3;//mass of sample
+M=90;//atomic mass of strontium
+NA=6.02*10^26;//avogadro's number
+
+
+//calculation
+n=m*NA/M;//no of nuclei in 1 mg sample
+k=.693/(t*365*24*60*60);//decay constant
+A=k*n;
+disp(A,'activity of sample(in disintegrations per second) is'); \ No newline at end of file
diff --git a/273/CH15/EX15.7/ex15_7.sce b/273/CH15/EX15.7/ex15_7.sce
new file mode 100755
index 000000000..6e6919477
--- /dev/null
+++ b/273/CH15/EX15.7/ex15_7.sce
@@ -0,0 +1,18 @@
+clc;clear;
+//Example 15.7
+//calculation of age of mineral
+
+//given values
+t=4.5*10^9;//half life in years
+M1=238;//atomic mass of Uranium in g
+m=.093;//mass of lead in 1 g of uranium in g
+NA=6.02*10^26;//avogadro's number
+M2=206;//atomic mass of lead in g
+
+//calculation
+n=NA/M1;//no of nuclei in 1 g of uranium sample
+n1=m*NA/M2;//no of nuclei in m mass of lead
+c=n1/n;
+k=.693/t;//decay constant
+T=(1/k)*log(1+c);
+disp(T,'age of mineral in years is'); \ No newline at end of file
diff --git a/273/CH15/EX15.8/ex15_8.sce b/273/CH15/EX15.8/ex15_8.sce
new file mode 100755
index 000000000..9391d2566
--- /dev/null
+++ b/273/CH15/EX15.8/ex15_8.sce
@@ -0,0 +1,16 @@
+clc;clear;
+//Example 15.8
+//calculation of age of wooden piece
+
+//given values
+t=5730;//half life of C14 in years
+M1=50;//mass of wooden piece in g
+A1=320;//activity of wooden piece (disintegration per minute per g)
+A2=12;//activity of living tree
+
+//calculation
+k=.693/t;//decay constant
+A=A1/M1;//activity after death
+
+T=(1/k)*log(A2/A);
+disp(T,'age of mineral in years is'); \ No newline at end of file
diff --git a/273/CH15/EX15.9/ex15_9.sce b/273/CH15/EX15.9/ex15_9.sce
new file mode 100755
index 000000000..2c197fb23
--- /dev/null
+++ b/273/CH15/EX15.9/ex15_9.sce
@@ -0,0 +1,14 @@
+clc;clear;
+//Example 15.9
+//calculation of energy released
+
+//given values
+M1=10.016125;//atomic mass of Boron in amu
+M2=13.007440;//atomic mass of C13 in amu
+M3=4.003874;//atomic mass of Helium in amu
+mp=1.008146;//mass of proton in amu
+amu=931;//amu in MeV
+
+//calculation
+Q=(M1+M3-(M2+mp))*amu;//total binding energy in M
+disp(Q,'Binding energy per nucleon in MeV is');